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UNIRATIONALITY OF CUBIC HYPERSURFACES

Name: UNIRATIONALITY OF CUBIC HYPERSURFACES
Creator: János Kollár
Keywords: Mathematics - Algebraic Geometry, Varieties over finite and local fields, cubic hypersurface, 0202 electrical engineering, electronic engineering, information engineering, unirational, Rational points, 14G05 14G15 (Primary) 11G25 11D25 (Secondary), 02 engineering and technology, 0101 mathematics, Rational and unirational varieties

Unirationality of cubic hypersurfaces.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Jun 2002Publisher:Cambridge University Press (CUP)Journal:Journal of the Institute of Mathematics of Jussieu, volume 1, pages 467-476 (issn: 1474-7480, eissn: 1475-3030,

Authors: János Kollár;

doi: 10.1017/s1474748002000117

arXiv: http://arxiv.org/abs/math/0005146

UNIRATIONALITY OF CUBIC HYPERSURFACES

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Abstract

Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.

Comment: 11 pages, LaTeX

Related Organizations

College of New Jersey
United States

Keywords

Mathematics - Algebraic Geometry, Varieties over finite and local fields, cubic hypersurface, unirational, Rational points, 14G05 14G15 (Primary) 11G25 11D25 (Secondary), Rational and unirational varieties, rational points

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	43
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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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